The square source of 17 is expressed together √17 in the radical kind and together (17)½ or (17)0.5 in the exponent form. The square source of 17 rounded approximately 7 decimal areas is 4.1231056. The is the positive solution the the equation x2 = 17.

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What Is the Square root of 17?

√17 = 4.123 ×4.123

Is the Square root of 17 reasonable orIrrational?

The square root of 17 is either 4.12310562562 or (-4.12310562562)Both the numbers cannot be stood for in the type of a reasonable number and also have a non terminating non-repeating decimal trail.Thus, the square root of 17 is irrational.

How to uncover the Square root of 17?

The square source of a numbercan be calculatedusing different methods:

Prime FactorizationLong division methodand by approximation

√17 can not be simplified any type of further.

Square root of 17 by Long department Method

Step 1 :Write 17 as presented in the figure. Begin grouping the number in bag from the ideal end. For 17, both the numbers will be grouped under one bar.Step 2:Find the biggest number, which, when multiplied through itself, will provide 17 or a smallernumber closest come 17. 4 is the compelled number.Step 3 :Divide 17 through 4Step 4:We acquire the remainder as 1 in this step. Now, location 3 bag of zeros after ~ the decimal point and proceed the lengthy division. Carry one pair the zeros down.Add the quotient 4 come the divisor, i m sorry is likewise 4. Thus, 8will be inserted as the brand-new divisor top top the tens place, with a empty on one's place. This empty will it is in filled by a number which when multipliedwith the quotient, will give the result 100 or a smaller sized number closest to 100. Here, ( 81 ×1 = 81) is the closest come 100. So 1 will certainly be inserted on the blank place.Step 5:The remainder the this step is 19. Now, carry down the second pair of zeros. Repeating the over step, the quotient indigenous the vault step, which is 1, will be included to the divisor native the previous action (81). 82 in addition to a blank ondigit in oneswill be the new divisor. Keep in mind that we will certainly not usage the finish quotient, yet only the previous action quotient.Step 6:We will repeat the process of Step 4. As822 ×2 = 1644is the closest come 1900. Again monitor the very same procedure for the remainder 256 by pass down an additional pair that zeros down. So, the approximate worth of √17 = 4.123


Explore Square roots making use of illustrations and also interactive examples

Challenging Questions:

Jenny has a square table that has an area that 17square inches. She extended it v a table fabric of area 25square inches.How countless inchesdoes the cloth hang approximately the table on each side?

Important Notes:

The square root of 17 is expressed as √17 in the radical type and together 171/2in exponential form.The square source of a number is both negative and confident for the exact same numerical worth i.e., the square source of 17 will certainly be both + 4.12310562562 or- 4.1231056256217 lies between 16and 25. So√17lies in between √16 and also √25The element factorization technique is supplied to write a square root of a non-perfect square number in the most basic radical form.

Example 2 :Kim is spanning her square-shaped toilet floor with tiles. If there space a total of 20 squared tiles and also the area that the toilet floor is 340 square inches, find the size of each side of a solitary tile.?


We know, every side the square = AreaWe will use the same concept to uncover the measurement of each tile.Area of restroom = the area of 20tiles, which is offered as 340 square inches.Area of each tile = 340÷20 = 17 square inchesLength of each side of brick = √17= 4.1231 inches


FAQs ~ above the Square root of 17

What is the worth of the Square source of 17?

The square root of 17 is 4.1231.

Why is the Square source of 17 one Irrational Number?

The number 17 is prime. This suggests that the number 17 is pairless and is no in the power of 2. Therefore, the square source of 17 is irrational.

Evaluate 17 add to 15 square source 17

The provided expression is 17 + 15 √17. We know that the square source of 17 is 4.123. Therefore, 17 + 15 √17 = 17 + 15 × 4.123 = 17 + 61.847 = 78.847

What is the Square source of 17 in most basic Radical Form?

The number 17 is a prime number. This suggests that the number 17 is pairless and is no in the strength of 2. Therefore, the radical kind of square root of 17 cannot be streamlined further.

What is the value of 1 square source 17?

The square source of 17 is 4.123. Therefore, 1 √17 = 1 × 4.123 = 4.123.

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Is the number 17 a Perfect Square?

The number 17 is prime. This means that the square source of 17 cannot be expressed as a product of 2 equal integers. Therefore, the number 17 is no a perfect square.